# Accounting26th ch 26

CHAPTER

Capital Investment
Analysis

Warren
Reeve
Duchac

human/iStock/360/Getty Images

Accounting
26e

Nature of Capital Investment Analysis

• Capital investment analysis (or capital budgeting) is

the process by which management plans, evaluates,
and controls investments in fixed assets.
Capital investment evaluation methods include:
o

Methods That Do Not Use Present Values
 Average rate of return method and Cash payback method

o

Methods That Use Present Values
 Net present value method and Internal rate of return method

• Present value considers the time value of money
concept which recognizes that a dollar today is worth
more than a dollar tomorrow because today’s dollar
can earn interest.

Average Rate of Return Method
(slide 1 of 2)

• The average rate of return, sometimes called the

accounting rate of return, measures the average
income as a percent of the average investment.
The average rate of return is computed as follows:
Estimated Average Annual Income
Average Rate of Return =
Average Investment
o

Assuming straight-line depreciation, the average investment
is computed as follows:
Initial Cost + Residual Value
Average Investment =
2

Average Rate of Return Method
(slide 2 of 2)

The average rate of return has the following three advantages:
o
o

o

It is easy to compute.
It includes the entire amount of income earned over the life of the
proposal.
It emphasizes accounting income, which is often used by investors and
creditors in evaluating management performance.

The average rate of return has the following two
o
o

It does not directly consider the expected cash flows from the proposal.
It does not directly consider the timing of the expected cash flows.

Cash Payback Method
(slide 1 of 2)

• The expected period of time between the date of an

investment and the recovery in cash of the amount
invested is the cash payback period.
When annual net cash inflows are equal, the cash
payback period is computed as follows:
Cash Payback Period =

Initial Cost
Annual Net Cash Inflow

• When the annual net cash inflows are not equal, the
cash payback period is determined by adding the
annual net cash inflows until the cumulative total
equals the initial cost of the proposed investment.

Cash Payback Method
(slide 2 of 2)

• A short cash payback period is desirable.
• The cash payback method has the following two
o
o

It is simple to use and understand.
It analyzes cash flows.

• The cash payback method has the following two
o
o

It ignores cash flows occurring after the payback period.
It does not use present value concepts in valuing cash flows
occurring in different periods.

Methods Using Present Values

• An investment in fixed assets may be viewed as

purchasing a series of net cash flows over a period of
time.
The timing of when the net cash flows will be received
is important in determining the value of a proposed
investment.
Present value methods use the amount and timing of
the net cash flows in evaluating an investment.

Present Value Concepts

• Both the net present value and the internal rate of
return methods use the following two present value
concepts:
o
o

Present value of an amount
Present value of an annuity

• The process of interest earning interest is called
compounding.

Compound Amount of \$1
for Three Periods at 12%

Partial Present Value of \$1 Table

Present Value of an Amount of \$1.404

Present Value of an Annuity

• An annuity is a series of equal net cash flows at fixed
time intervals.
o

Cash payments for monthly rent, salaries, and bond interest
are all examples of annuities.

• The present value of an annuity is the amount of
cash needed today to yield a series of equal net cash
flows at fixed time intervals in the future.

Present Value of a \$100 Amount
for Five Consecutive Periods

Partial Present Value of an Annuity Table

Net Present Value Method
(slide 1 of 2)

• The net present value method compares the amount
to be invested with the present value of the net cash
inflows.
o

It is sometimes called the discounted cash flow method.

• The interest rate (return) used in net present value

analysis is the company’s minimum desired rate of
return. It is sometimes termed the hurdle rate.
If the present value of the cash inflows equals or
exceeds the amount to be invested, the proposal is
desirable.

Net Present Value Method
(slide 2 of 2)

The net present value method has the following three
o
o
o

It considers the cash flows of the investment.
It considers the time value of money.
It can rank projects with equal lives, using the present value index.

The net present value method has the following two
o

o

It has more complex computations than methods that don’t use present
value.
It assumes the cash flows can be reinvested at the minimum desired rate
of return, which may not be valid.

Present Value Index

• When capital investment funds are limited and the

proposals involve different investments, a ranking of
the proposals can be prepared using a present value
index.
The present value index is computed as follows:
Total Present Value of Net Cash Flow
Present Value Index =
Amount to Be Invested
o

o

A project will have a present value index greater than 1
when the net present value is positive.
When the net present value is negative, the present value
index will be less than 1.

Internal Rate of Return Method
(slide 1 of 3)

• The internal rate of return (IRR) method uses present
value concepts to compute the rate of return from a
capital investment proposal based on its expected net
cash flows.
o

This method, sometimes called the time-adjusted rate of
return method, starts with the proposal’s net cash flows and
works backward to estimate the proposal’s expected rate
of return.

Internal Rate of Return Method
(slide 2 of 3)

When equal annual net cash flows are expected from a proposal, the
internal rate of return can be determined as follows:
o

o

Step 1. Determine a present value factor for an annuity of \$1 as follows:

Step 2. Locate the present value factor determined in Step 1 in the present
value of an annuity of \$1 table (see slide XX) as follows:
 Locate the number of years of expected useful life of the investment in the Year
column.
 Proceed horizontally across the table until you find the present value factor
computed in Step 1.

o

Identify the internal rate of return by the heading of the column in which the
present value factor in Step 2 is located.

Internal Rate of Return Method
(slide 3 of 3)

The internal rate of return method has the following three
o
o
o

It considers the cash flows of the investment.
It considers the time value of money.
It ranks proposals based upon the cash flows over their complete useful
life, even if the project lives are not the same.

The internal rate of return method has the following two
o

o

It has complex computations, requiring a computer if the periodic cash
flows are not equal.
It assumes the cash received from a proposal can be reinvested at the
internal rate of return, which may not be valid.

Factors That Complicate
Capital Investment Analysis

• Additional factors such as the following may impact
capital investment decisions:
o
o
o
o
o
o

Income tax
Proposals with unequal lives
Uncertainty
Changes in price levels
Qualitative factors

Income Tax

• The impact of income tax on capital investment
decisions can be material.
o

o

For example, in determining depreciation for federal
income tax purposes, useful lives that are much shorter than
actual useful lives are often used.
Also, depreciation for tax purposes often differs from
depreciation for financial statement purposes. As a result,
the timing of the cash flows for income taxes can have a
significant impact on capital investment analysis.

Lease versus Capital Investment

Some advantages of leasing a fixed asset include the
following:
o

o
o

The company has use of the fixed asset without spending large amounts
of cash to purchase the asset.
The company eliminates the risk of owning an obsolete asset.
The company may deduct the annual lease payments for income tax
purposes.

A disadvantage of leasing a fixed asset includes the following:
o

It is normally more costly than purchasing the asset.
 This is because the lessor (owner of the asset) includes in the rental price not
only the costs of owning the asset, but also a profit.

Uncertainty

• All capital investment analyses rely on factors that are
uncertain.
o

For example, estimates of revenues, expenses, and cash
flows are uncertain.

Changes in Price Levels

• Price levels normally change as the economy improves
or deteriorates.
o

General price levels often increase in a rapidly growing
economy, which is called inflation.
 During such periods, the rate of return on an investment should
exceed the rising price level. If this is not the case, the cash
returned on the investment will be less than expected.

• Price levels may also change for foreign investments.
o

This occurs as currency exchange rates change.
 Currency exchange rates are the rates at which currency in another
country can be exchanged for U.S. dollars.
– If the amount of local dollars that can be exchanged for one U.S.
dollar increases, then the local currency is said to be weakening to the
dollar. 